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Finding the Fourth Proportional to 288,777.13, 433,166.44 and 117,998.85

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Solution

The fourth proportional to 288,777.13, 433,166.44 and 117,998.85 is: 176,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,777.13 : 433,166.44 = 117,998.85 : x
  2. Step 2: Convert to fraction form
    288,777.13/433,166.44 = 117,998.85/x
  3. Step 3: Cross multiply
    288,777.13x = 433,166.44 × 117,998.85
  4. Step 4: Simplify right side
    288,777.13x = 51,113,141,778.59
  5. Step 5: Solve for x
    x = 51,113,141,778.59/288,777.13
  6. Step 6: Final answer
    x = 176,998.58

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.